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Finding the Third Proportional to 7,933.50 and 18,541.13

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Solution

The third proportional to 7,933.50 and 18,541.13 is: 43,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933.50 : 18,541.13 = 18,541.13 : x
  2. Step 2: Convert to fraction form
    7,933.50/18,541.13 = 18,541.13/x
  3. Step 3: Cross multiply
    7,933.50x = 18,541.13 × 18,541.13
  4. Step 4: Simplify right side
    7,933.50x = 343,773,316.27
  5. Step 5: Solve for x
    x = 343,773,316.27/7,933.50
  6. Step 6: Final answer
    x = 43,331.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.